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Mathematics

The mean of x - 1, x + 1, x + 3 and x + 5 is

  1. x + 1

  2. x + 2

  3. x + 3

  4. x + 4

Statistics

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Answer

By formula,

Mean =Sum of observationsNo. of observations\text{Mean } = \dfrac{\text{Sum of observations}}{\text{No. of observations}}

Sum of observations = (x - 1) + (x + 1) + (x + 3) + (x + 5) = 4x + 8.

Mean =4x+84=4(x+2)4=x+2.\text{Mean } = \dfrac{4x + 8}{4} \\[1em] = \dfrac{4(x + 2)}{4} \\[1em] = x + 2.

Hence, Option 2 is the correct option.

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